Finding the Third Proportional to 9,826 and 20,105

Step by Step Solution

1. Step 1: Write the proportion equation
   9,826 : 20,105 = 20,105 : x
2. Step 2: Convert to fraction form
   9,826/20,105 = 20,105/x
3. Step 3: Cross multiply
   9,826x = 20,105 × 20,105
4. Step 4: Simplify right side
   9,826x = 404,211,025
5. Step 5: Solve for x
   x = 404,211,025/9,826
6. Step 6: Final answer
   x = 41,136.88